Courses:

Theory of Numbers >> Content Detail



Assignments



Assignments

Amazon logo When you click the Amazon logo to the left of any citation and purchase the book (or other media) from Amazon.com, MIT OpenCourseWare will receive up to 10% of this purchase and any other purchases you make during that visit. This will not increase the cost of your purchase. Links provided are to the US Amazon site, but you can also support OCW through Amazon sites in other regions. Learn more.
The assignments listed below are from the textbook: Amazon logo Niven, Ivan, Herbert S. Zuckerman, and Hugh L. Montgomery. An Introduction to the Theory of Numbers. 5th ed. New York: Wiley Text Books, 1991. ISBN: 0471625469. 

TOPICSASSIGNMENTSSOLUTIONS
Binomial TheoremProblem Set 1

Prove Theorem 1.1 in Book

Do Exercises:

1.2: 2, 13, 30, 35, 44, 47, 50
1.3: 4, 8, 9, 11, 36, 37

Note: Problems 1.3: 36 and 37 may be handed in with Problem Set 2.
(PDF)
More on CongruencesProblem Set 2

1.3: 36, 37 (again)
1.4: 4, 8
2.1: 5, 6, 10, 12
(PDF)
More on Euler's Little TheoremProblem Set 3

2.1: 17, 23, 45, 46
2.2: 3, 5abc, 14, 17
(PDF)
Hensel's LemmaProblem Set 4

2.3: 3, 12, 15, 21, 44
2.4: 6, 16
2.5: 4, 5
(PDF)
Finite FieldsProblem Set 5

2.6: 8, 10
2.7: 3, 10
2.8: 13, 14, 22
3.1: 3, 5, 7
(PDF)
More on Quadratic ReciprocityProblem Set 6

3.1: 13, 15, 18, 23,
3.2: 4, 8, 13, 18, 22
(PDF)
More on Continued FractionsProblem Set 7

3.3: 3, 7, 14, 20
7.1: 1, 5
7.2: 1
7.3: 3, 6
(PDF)
Elliptic CurvesProblem Set 8 (PDF )(Not Yet Available)
Finite Generation of Group of Torsion PointsProblem Set 9 (PDF )(Not Yet Available)

 








© 2010-2017 OpenHigherEd.com, All Rights Reserved.
Open Higher Ed ® is a registered trademark of AmeriCareers LLC.